Question 1

Find the square root, rounded to hundredths if necessary.
-$\sqrt { 1.73 }$

Accepted Answer

A)  $1.34$ 
B)  $1.307$ 
C)  $1.00$ 
D)  $1.32$ 
A)  $1.34$ 
B)  $1.307$ 
C)  $1.00$ 
D)  $1.32$

Question 2

Determine if the following is a function or not.
-The set of ordered pairs {(10, 15), (14, 19), (15, 20), (16, 25)} in the set of whole numbers.

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 3

Determine if the following is a function or not.
-The set of ordered pairs {(4, 9), (8, 13), (8, 14), (10, 15)} in the set of whole numbers.

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 4

Write an equation relating the variables in the situation described.
-The cost C of renting a video movie for n days if the charge is $3 deposit plus $2 per day of renting. The deposit is returned when the movie is returned.

Accepted Answer

A)  $C = 3 n + 2 n$ 
B)  $C = 3 n$ 
C)  $C = 3 + 2 n$ 
D)  $C = 2 n$ 
A)  $C = 3 n + 2 n$ 
B)  $C = 3 n$ 
C)  $C = 3 + 2 n$ 
D)  $C = 2 n$

Question 5

Solve the equation.
-2x + 7 = 2(x + 7)

Accepted Answer

A) 0 
B) 7 
C) no solution 
D) 14 
A) 0 
B) 7 
C) no solution 
D) 14

Question 6

Solve the problem.
-Find the 15th term of the following geometric sequence: $1 - \sqrt { 2 } , 2 - \sqrt { 2 } , 2 - 2 \sqrt { 2 } , \ldots$

Accepted Answer

A)  $256 = 256 \sqrt { 2 }$ 
B)  $128 \sqrt { 2 } - 128$ 
C)  $64 \sqrt { 2 } - 64$ 
D)  $128 - 128 \sqrt { 2 }$ 
A)  $256 = 256 \sqrt { 2 }$ 
B)  $128 \sqrt { 2 } - 128$ 
C)  $64 \sqrt { 2 } - 64$ 
D)  $128 - 128 \sqrt { 2 }$

Question 7

Solve the problem.
-On August 13, the Bryer family received 23 pieces of mail, consisting of magazines, bills, letters, and ads. If they received the same number of magazines as letters, three more bills than letters, and Five more ads than bills, how many magazines did they receive?

Accepted Answer

A) 6 magazines 
B) 3 magazines 
C) 11 magazines 
D) 4 magazines 
A) 6 magazines 
B) 3 magazines 
C) 11 magazines 
D) 4 magazines

Question 8

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)to which the given number belongs. If the number does not belong to any,
state none.
-$\sqrt { 11 }$

Accepted Answer

A)  $S , R$ 
B)  $R$ 
C)  $\mathrm { S }$ 
D)  $Q , R$ 
A)  $S , R$ 
B)  $R$ 
C)  $\mathrm { S }$ 
D)  $Q , R$

Question 9

Solve the problem.
-The town of Appleville recorded the following dates and populations.   Draw a graph of the population as a function of time. What was the approximate population of Appleville in 2002?

Accepted Answer

A) 11,000 
B) 12,000 
C) 13,000 
D) 10,000 
A) 11,000 
B) 12,000 
C) 13,000 
D) 10,000

Question 10

Find or investigate the function as requested.
-If water is added to an empty tank such that the water level rises by 2 cm every 25 minutes, then what is the level of the water L(t)in the tank after t minutes?

Accepted Answer

A)  $\mathrm { L } ( \mathrm { t } ) = \frac { 25 } { 2 } \mathrm { t }$ 
B)  $L ( t ) = 2 t$ 
C)  $\mathrm { L } ( \mathrm { t } ) = 50 \mathrm { t }$ 
D)  $\mathrm { L } ( \mathrm { t } ) = \frac { 2 } { 25 } \mathrm { t }$ 
A)  $\mathrm { L } ( \mathrm { t } ) = \frac { 25 } { 2 } \mathrm { t }$ 
B)  $L ( t ) = 2 t$ 
C)  $\mathrm { L } ( \mathrm { t } ) = 50 \mathrm { t }$ 
D)  $\mathrm { L } ( \mathrm { t } ) = \frac { 2 } { 25 } \mathrm { t }$

Question 11

Solve the problem.
-The sum of three consecutive integers is 519. Find the numbers.

Accepted Answer

A) 173, 174, 175 
B) 171, 173, 175 
C) 172, 173, 174 
D) 171, 172, 173 
A) 173, 174, 175 
B) 171, 173, 175 
C) 172, 173, 174 
D) 171, 172, 173

Question 12

Solve the problem.
-A high school graduating class is made up of 445 students. There are 97 more girls than boys. How many boys are in the class?

Accepted Answer

A) 271 boys 
B) 174 boys 
C) 445 boys 
D) 97 boys 
A) 271 boys 
B) 174 boys 
C) 445 boys 
D) 97 boys

Question 13

Solve the problem.
-Find the nth term of the following arithmetic sequence: 1, -1, -3, -5, -7, . . .

Accepted Answer

A)  $- 2 n + 3$ 
B)  $2 n - 3$ 
C)  $- 5 - 2 n$ 
D)  $- 2 n - 3$ 
A)  $- 2 n + 3$ 
B)  $2 n - 3$ 
C)  $- 5 - 2 n$ 
D)  $- 2 n - 3$

Question 14

Write an expression in terms of the given variable(s)that represents the indicated quantity.
-For a particular event, a student pays $10 per ticket and a nonstudent pays $13 per ticket. If x students and 200 nonstudents buy tickets, find the total revenue from the sale of the tickets in terms
Of x.

Accepted Answer

A) 10 + 2600x dollars 
B) 10x + 1300 dollars 
C) 10x + 2600 dollars 
D) 10x + 13 dollars 
A) 10 + 2600x dollars 
B) 10x + 1300 dollars 
C) 10x + 2600 dollars 
D) 10x + 13 dollars

Question 15

Find or investigate the function as requested.
-The set of ordered pairs is a function. Find a rule that could describe the function. {(7, 5), (8, 6), (10, 8), (11, 9)}

Accepted Answer

A) There is no such rule. 
B) Square the input number. 
C) Add 2 to the input number. 
D) Subtract 2 from the input number. 
A) There is no such rule. 
B) Square the input number. 
C) Add 2 to the input number. 
D) Subtract 2 from the input number.

Question 16

Write an expression in terms of the given variable(s)that represents the indicated quantity.
-The amount of bacteria after n minutes if the initial amount of bacteria is q and the amount of bacteria triples every minute.

Accepted Answer

A)  $q \cdot 3 ^ { n }$ 
B)  $q \cdot n ^ { 3 }$ 
C)  $q \cdot 3 ^ { 3 n }$ 
D)  $3 q n$ 
A)  $q \cdot 3 ^ { n }$ 
B)  $q \cdot n ^ { 3 }$ 
C)  $q \cdot 3 ^ { 3 n }$ 
D)  $3 q n$

Question 17

Solve the problem.
-You brake your car from a speed of 60 mph. The table shows data that represent your car's speed versus the amount of time elapsed from the moment that you began to brake.   Graph the data. For what interval of time is the speed increasing? For what interval of time is the speed Decreasing? For what interval of time is the speed constant?

Accepted Answer

A) 
 
Elapsed Time (seconds)
0 to 4 seconds; None; 4 to 6 seconds 
B) 
 
Elapsed Time (seconds)
0 to 5 seconds; None; 5 to 6 seconds 
C) 
 
Elapsed Time (seconds)
None; 0 to 5 seconds; 5 to 6 seconds 
D) 
 
Elapsed Time (seconds)
None; 0 to 4 seconds; 4 to 6 seconds 
A) 
 
Elapsed Time (seconds)
0 to 4 seconds; None; 4 to 6 seconds 
B) 
 
Elapsed Time (seconds)
0 to 5 seconds; None; 5 to 6 seconds 
C) 
 
Elapsed Time (seconds)
None; 0 to 5 seconds; 5 to 6 seconds 
D) 
 
Elapsed Time (seconds)
None; 0 to 4 seconds; 4 to 6 seconds

Question 18

Solve the problem.
-Find the 100th term of the following arithmetic sequence: $5,5 - \sqrt { 3 } , 5 - 2 \sqrt { 3 } , \ldots$

Accepted Answer

A)  $5 - 100 \sqrt { 3 }$ 
B)  $5 + 99 \sqrt { 3 }$ 
C)  $5 - 99 \sqrt { 3 }$ 
D)  $500 - 99 \sqrt { 3 }$ 
A)  $5 - 100 \sqrt { 3 }$ 
B)  $5 + 99 \sqrt { 3 }$ 
C)  $5 - 99 \sqrt { 3 }$ 
D)  $500 - 99 \sqrt { 3 }$

Question 19

Find the square root, rounded to hundredths if necessary.
-$\sqrt { 7 }$

Accepted Answer

A)  $2.68$ 
B)  $2.63$ 
C)  $2.65$ 
D)  7 
A)  $2.68$ 
B)  $2.63$ 
C)  $2.65$ 
D)  7

Question 20

Solve the equation.
-x - 3 = 36

Accepted Answer

A) 40 
B) 32 
C) 33 
D) 39 
A) 40 
B) 32 
C) 33 
D) 39

Find the square root, rounded to hundredths if necessary. - $\sqrt { 1.73 }$

Determine if the following is a function or not. -The set of ordered pairs {(10, 15), (14, 19), (15, 20), (16, 25)} in the set of whole numbers.

Determine if the following is a function or not. -The set of ordered pairs {(4, 9), (8, 13), (8, 14), (10, 15)} in the set of whole numbers.

Write an equation relating the variables in the situation described. -The cost C of renting a video movie for n days if the charge is $3 deposit plus $2 per day of renting. The deposit is returned when the movie is returned.

Solve the equation. -2x + 7 = 2(x + 7)

Solve the problem. -Find the 15th term of the following geometric sequence: $1 - \sqrt { 2 } , 2 - \sqrt { 2 } , 2 - 2 \sqrt { 2 } , \ldots$

Solve the problem. -On August 13, the Bryer family received 23 pieces of mail, consisting of magazines, bills, letters, and ads. If they received the same number of magazines as letters, three more bills than letters, and Five more ads than bills, how many magazines did they receive?

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)to which the given number belongs. If the number does not belong to any, state none. - $\sqrt { 11 }$

Solve the problem. -The town of Appleville recorded the following dates and populations. Draw a graph of the population as a function of time. What was the approximate population of Appleville in 2002?

Find or investigate the function as requested. -If water is added to an empty tank such that the water level rises by 2 cm every 25 minutes, then what is the level of the water L(t)in the tank after t minutes?

Solve the problem. -The sum of three consecutive integers is 519. Find the numbers.

Solve the problem. -A high school graduating class is made up of 445 students. There are 97 more girls than boys. How many boys are in the class?

Solve the problem. -Find the nth term of the following arithmetic sequence: 1, -1, -3, -5, -7, . . .

Write an expression in terms of the given variable(s)that represents the indicated quantity. -For a particular event, a student pays $10 per ticket and a nonstudent pays $13 per ticket. If x students and 200 nonstudents buy tickets, find the total revenue from the sale of the tickets in terms Of x.

Find or investigate the function as requested. -The set of ordered pairs is a function. Find a rule that could describe the function. {(7, 5), (8, 6), (10, 8), (11, 9)}

Write an expression in terms of the given variable(s)that represents the indicated quantity. -The amount of bacteria after n minutes if the initial amount of bacteria is q and the amount of bacteria triples every minute.

Solve the problem. -Find the 100th term of the following arithmetic sequence: $5,5 - \sqrt { 3 } , 5 - 2 \sqrt { 3 } , \ldots$

Find the square root, rounded to hundredths if necessary. - $\sqrt { 7 }$

Solve the equation. -x - 3 = 36

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 8: Real Numbers and Algebraic Thinking

Find the square root, rounded to hundredths if necessary. - 1.73\sqrt { 1.73 }1.73​